Explore completing the square as a process for finding complex roots of quadratic equations with a video lesson that pulls together several concepts related to quadratic equations. The example shows how to complete the square with a quadratic equation and then solve using a square root of a negative number. The answer results in a complex solution.

Concepts

completing the square, solving quadratics, complex roots

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Additional Tags

math

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Instructional Ideas

• Use the lesson as an extension for upper-level pupils
• Begin with examples that do not result in fractional coefficients

Classroom Considerations

• Learners should already be comfortable with the process of completing the square and imaginary numbers

• This video is hosted on YouTube

Pros

• Shows every step and detailed work

Cons

• The one example shown has fractional coefficients, which may lose some scholars' interest

Common Core

HSN-CN.C.7